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Finding the Fourth Proportional to 20,810, 31,218.36 and 6,962.24

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Solution

The fourth proportional to 20,810, 31,218.36 and 6,962.24 is: 10,444.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810 : 31,218.36 = 6,962.24 : x
  2. Step 2: Convert to fraction form
    20,810/31,218.36 = 6,962.24/x
  3. Step 3: Cross multiply
    20,810x = 31,218.36 × 6,962.24
  4. Step 4: Simplify right side
    20,810x = 217,349,714.73
  5. Step 5: Solve for x
    x = 217,349,714.73/20,810
  6. Step 6: Final answer
    x = 10,444.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.